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3 years ago

5

Please solve this with work.

2 answers:

amid [387]3 years ago

7 0

Answer:

x = 2

Step-by-step explanation:

The relevant rule of logarithms is ...

log(a/b) = log(a) -log(b)

This lets us combine the logs on the left to get ...

log((6 +7x)/(3x -2)) = log(5)

Taking anti-logs gives ...

(6 +7x)/(3x -2) = 5

6 +7x = 5(3x -2) . . . . . multiply by (3x -2)

7x +6 = 15x -10 . . . . . eliminate parentheses

8x = 16 . . . . . . . . . . . add 10-7x to both sides

x = 2 . . . . . . . . . . . . . divide by 8

The solution is x = 2.

_____

The graph shows the left side of the equation is equal to the right side for x=2.

liberstina [14]3 years ago

6 0

$\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log(6+7x)-\log(3x-2)=\log(5)\implies \log\left( \cfrac{6+7x}{3x-2} \right)=\log(5) \\\\\\ \cfrac{6+7x}{3x-2}=5\implies 6+7x=15x-10\implies 6=8x-10 \\\\\\ 16=8x\implies \cfrac{16}{8}=x\implies 2=x$

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MATH QUESTION!! WILL MARK BRAINLIEST!! PAST DUE HELP ASAP!!!

monitta

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Right Triangles</u>

In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.

In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

$c^2=a^2+b^2$

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.

The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

$CM=\frac{1}{2}AB$

First, find the coordinates of the midpoint M(xm,ym):

$\displaystyle x_m=\frac{0+3}{2}=1.5$

$\displaystyle y_m=\frac{4+0}{2}=2$

Thus, the midpoint is M( 1.5 , 2 )

Calculate the distance CM:

$CM=\sqrt{(1.5-0)^2+(2-0)^2}$

$CM=\sqrt{2.25+4}=\sqrt{6.25}=2.5$

CM=2.5

Now find the distance AB:

$AB=\sqrt{(3-0)^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}$

AB=5

AB/2=2.5

It's proven CM is half of AB

3 0

3 years ago

I need help with this question

schepotkina [342]

V=763.02
If rounded to the nearest tenth V=763

5 0

3 years ago

Whats 10 percent higher than 39

creativ13 [48]

It will be 49% out of 100

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3 years ago

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BigorU [14]

Answer:

-8/46

Step-by-step explanation:

slope is the change of y over the change in x

-5 - 3 divided by 44 - (-2)

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4 years ago

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Natalija [7]

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.....................................

6 0

3 years ago

Read 2 more answers